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Finding the Third Proportional to 129,908,820 and 269,026,002

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Solution

The third proportional to 129,908,820 and 269,026,002 is: 557,121,446.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,908,820 : 269,026,002 = 269,026,002 : x
  2. Step 2: Convert to fraction form
    129,908,820/269,026,002 = 269,026,002/x
  3. Step 3: Cross multiply
    129,908,820x = 269,026,002 × 269,026,002
  4. Step 4: Simplify right side
    129,908,820x = 72,374,989,752,104,000
  5. Step 5: Solve for x
    x = 72,374,989,752,104,000/129,908,820
  6. Step 6: Final answer
    x = 557,121,446.81

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