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Finding the Third Proportional to 102,087,768 and 156,916,218

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Solution

The third proportional to 102,087,768 and 156,916,218 is: 241,191,476.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,087,768 : 156,916,218 = 156,916,218 : x
  2. Step 2: Convert to fraction form
    102,087,768/156,916,218 = 156,916,218/x
  3. Step 3: Cross multiply
    102,087,768x = 156,916,218 × 156,916,218
  4. Step 4: Simplify right side
    102,087,768x = 24,622,699,471,423,524
  5. Step 5: Solve for x
    x = 24,622,699,471,423,524/102,087,768
  6. Step 6: Final answer
    x = 241,191,476.25

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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.