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Finding the Third Proportional to 71,931,668.25 and 105,166,614.75

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Solution

The third proportional to 71,931,668.25 and 105,166,614.75 is: 153,757,268.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,931,668.25 : 105,166,614.75 = 105,166,614.75 : x
  2. Step 2: Convert to fraction form
    71,931,668.25/105,166,614.75 = 105,166,614.75/x
  3. Step 3: Cross multiply
    71,931,668.25x = 105,166,614.75 × 105,166,614.75
  4. Step 4: Simplify right side
    71,931,668.25x = 11,060,016,857,974,918
  5. Step 5: Solve for x
    x = 11,060,016,857,974,918/71,931,668.25
  6. Step 6: Final answer
    x = 153,757,268.91

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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.