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Finding the Third Proportional to 65,884,377.38 and 102,139,142.06

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Solution

The third proportional to 65,884,377.38 and 102,139,142.06 is: 158,344,128.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,884,377.38 : 102,139,142.06 = 102,139,142.06 : x
  2. Step 2: Convert to fraction form
    65,884,377.38/102,139,142.06 = 102,139,142.06/x
  3. Step 3: Cross multiply
    65,884,377.38x = 102,139,142.06 × 102,139,142.06
  4. Step 4: Simplify right side
    65,884,377.38x = 10,432,404,341,263,556
  5. Step 5: Solve for x
    x = 10,432,404,341,263,556/65,884,377.38
  6. Step 6: Final answer
    x = 158,344,128.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.