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Finding the Third Proportional to 66,887,704.13 and 102,330,715.92

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Solution

The third proportional to 66,887,704.13 and 102,330,715.92 is: 156,554,564.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,887,704.13 : 102,330,715.92 = 102,330,715.92 : x
  2. Step 2: Convert to fraction form
    66,887,704.13/102,330,715.92 = 102,330,715.92/x
  3. Step 3: Cross multiply
    66,887,704.13x = 102,330,715.92 × 102,330,715.92
  4. Step 4: Simplify right side
    66,887,704.13x = 10,471,575,421,084,506
  5. Step 5: Solve for x
    x = 10,471,575,421,084,506/66,887,704.13
  6. Step 6: Final answer
    x = 156,554,564.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.