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Finding the Third Proportional to 70,526,775 and 106,854,682.50

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Solution

The third proportional to 70,526,775 and 106,854,682.50 is: 161,894,871.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,526,775 : 106,854,682.50 = 106,854,682.50 : x
  2. Step 2: Convert to fraction form
    70,526,775/106,854,682.50 = 106,854,682.50/x
  3. Step 3: Cross multiply
    70,526,775x = 106,854,682.50 × 106,854,682.50
  4. Step 4: Simplify right side
    70,526,775x = 11,417,923,172,175,806
  5. Step 5: Solve for x
    x = 11,417,923,172,175,806/70,526,775
  6. Step 6: Final answer
    x = 161,894,871.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.