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Finding the Third Proportional to 66,834,080 and 106,346,160

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Solution

The third proportional to 66,834,080 and 106,346,160 is: 169,217,646.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,834,080 : 106,346,160 = 106,346,160 : x
  2. Step 2: Convert to fraction form
    66,834,080/106,346,160 = 106,346,160/x
  3. Step 3: Cross multiply
    66,834,080x = 106,346,160 × 106,346,160
  4. Step 4: Simplify right side
    66,834,080x = 11,309,505,746,745,600
  5. Step 5: Solve for x
    x = 11,309,505,746,745,600/66,834,080
  6. Step 6: Final answer
    x = 169,217,646.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.