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Finding the Third Proportional to 121,692,967 and 286,983,264

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Solution

The third proportional to 121,692,967 and 286,983,264 is: 676,780,226.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,692,967 : 286,983,264 = 286,983,264 : x
  2. Step 2: Convert to fraction form
    121,692,967/286,983,264 = 286,983,264/x
  3. Step 3: Cross multiply
    121,692,967x = 286,983,264 × 286,983,264
  4. Step 4: Simplify right side
    121,692,967x = 82,359,393,816,093,696
  5. Step 5: Solve for x
    x = 82,359,393,816,093,696/121,692,967
  6. Step 6: Final answer
    x = 676,780,226.88

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.