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Finding the Third Proportional to 301,255,440,313.50 and 655,464,118,221

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Solution

The third proportional to 301,255,440,313.50 and 655,464,118,221 is: 1,426,142,577,966.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,255,440,313.50 : 655,464,118,221 = 655,464,118,221 : x
  2. Step 2: Convert to fraction form
    301,255,440,313.50/655,464,118,221 = 655,464,118,221/x
  3. Step 3: Cross multiply
    301,255,440,313.50x = 655,464,118,221 × 655,464,118,221
  4. Step 4: Simplify right side
    301,255,440,313.50x = 429,633,210,275,233,060,093,952
  5. Step 5: Solve for x
    x = 429,633,210,275,233,060,093,952/301,255,440,313.50
  6. Step 6: Final answer
    x = 1,426,142,577,966.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.