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Finding the Third Proportional to 129,816,810 and 185,625,594

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Solution

The third proportional to 129,816,810 and 185,625,594 is: 265,426,805.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,816,810 : 185,625,594 = 185,625,594 : x
  2. Step 2: Convert to fraction form
    129,816,810/185,625,594 = 185,625,594/x
  3. Step 3: Cross multiply
    129,816,810x = 185,625,594 × 185,625,594
  4. Step 4: Simplify right side
    129,816,810x = 34,456,861,147,852,836
  5. Step 5: Solve for x
    x = 34,456,861,147,852,836/129,816,810
  6. Step 6: Final answer
    x = 265,426,805.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.