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Finding the Third Proportional to 235,920,827 and 353,881,271

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Solution

The third proportional to 235,920,827 and 353,881,271 is: 530,821,952.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,920,827 : 353,881,271 = 353,881,271 : x
  2. Step 2: Convert to fraction form
    235,920,827/353,881,271 = 353,881,271/x
  3. Step 3: Cross multiply
    235,920,827x = 353,881,271 × 353,881,271
  4. Step 4: Simplify right side
    235,920,827x = 125,231,953,964,575,440
  5. Step 5: Solve for x
    x = 125,231,953,964,575,440/235,920,827
  6. Step 6: Final answer
    x = 530,821,952.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.