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Finding the Third Proportional to 77,878,304 and 121,065,344

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Solution

The third proportional to 77,878,304 and 121,065,344 is: 188,201,549.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,878,304 : 121,065,344 = 121,065,344 : x
  2. Step 2: Convert to fraction form
    77,878,304/121,065,344 = 121,065,344/x
  3. Step 3: Cross multiply
    77,878,304x = 121,065,344 × 121,065,344
  4. Step 4: Simplify right side
    77,878,304x = 14,656,817,517,838,336
  5. Step 5: Solve for x
    x = 14,656,817,517,838,336/77,878,304
  6. Step 6: Final answer
    x = 188,201,549.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.