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Finding the Third Proportional to 102,088,142 and 156,916,787

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Solution

The third proportional to 102,088,142 and 156,916,787 is: 241,192,341.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,088,142 : 156,916,787 = 156,916,787 : x
  2. Step 2: Convert to fraction form
    102,088,142/156,916,787 = 156,916,787/x
  3. Step 3: Cross multiply
    102,088,142x = 156,916,787 × 156,916,787
  4. Step 4: Simplify right side
    102,088,142x = 24,622,878,042,403,368
  5. Step 5: Solve for x
    x = 24,622,878,042,403,368/102,088,142
  6. Step 6: Final answer
    x = 241,192,341.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.