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Finding the Third Proportional to 148,254,698 and 216,924,681

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Solution

The third proportional to 148,254,698 and 216,924,681 is: 317,401,862.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,254,698 : 216,924,681 = 216,924,681 : x
  2. Step 2: Convert to fraction form
    148,254,698/216,924,681 = 216,924,681/x
  3. Step 3: Cross multiply
    148,254,698x = 216,924,681 × 216,924,681
  4. Step 4: Simplify right side
    148,254,698x = 47,056,317,226,951,760
  5. Step 5: Solve for x
    x = 47,056,317,226,951,760/148,254,698
  6. Step 6: Final answer
    x = 317,401,862.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.