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Finding the Third Proportional to 214,293,214 and 465,118,076

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Solution

The third proportional to 214,293,214 and 465,118,076 is: 1,009,527,182.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,293,214 : 465,118,076 = 465,118,076 : x
  2. Step 2: Convert to fraction form
    214,293,214/465,118,076 = 465,118,076/x
  3. Step 3: Cross multiply
    214,293,214x = 465,118,076 × 465,118,076
  4. Step 4: Simplify right side
    214,293,214x = 216,334,824,621,941,760
  5. Step 5: Solve for x
    x = 216,334,824,621,941,760/214,293,214
  6. Step 6: Final answer
    x = 1,009,527,182.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.