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Finding the Third Proportional to 102,762,489.38 and 148,474,051.31

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Solution

The third proportional to 102,762,489.38 and 148,474,051.31 is: 214,519,364.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,762,489.38 : 148,474,051.31 = 148,474,051.31 : x
  2. Step 2: Convert to fraction form
    102,762,489.38/148,474,051.31 = 148,474,051.31/x
  3. Step 3: Cross multiply
    102,762,489.38x = 148,474,051.31 × 148,474,051.31
  4. Step 4: Simplify right side
    102,762,489.38x = 22,044,543,913,146,884
  5. Step 5: Solve for x
    x = 22,044,543,913,146,884/102,762,489.38
  6. Step 6: Final answer
    x = 214,519,364.48

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.