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Finding the Third Proportional to 102,088,080 and 153,206,784

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Solution

The third proportional to 102,088,080 and 153,206,784 is: 229,922,226.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,088,080 : 153,206,784 = 153,206,784 : x
  2. Step 2: Convert to fraction form
    102,088,080/153,206,784 = 153,206,784/x
  3. Step 3: Cross multiply
    102,088,080x = 153,206,784 × 153,206,784
  4. Step 4: Simplify right side
    102,088,080x = 23,472,318,663,622,656
  5. Step 5: Solve for x
    x = 23,472,318,663,622,656/102,088,080
  6. Step 6: Final answer
    x = 229,922,226.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.