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Finding the Third Proportional to 129,908,822 and 269,026,006

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Solution

The third proportional to 129,908,822 and 269,026,006 is: 557,121,454.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,908,822 : 269,026,006 = 269,026,006 : x
  2. Step 2: Convert to fraction form
    129,908,822/269,026,006 = 269,026,006/x
  3. Step 3: Cross multiply
    129,908,822x = 269,026,006 × 269,026,006
  4. Step 4: Simplify right side
    129,908,822x = 72,374,991,904,312,032
  5. Step 5: Solve for x
    x = 72,374,991,904,312,032/129,908,822
  6. Step 6: Final answer
    x = 557,121,454.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.