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Finding the Third Proportional to 88,029,947,112 and 190,677,370,327

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Solution

The third proportional to 88,029,947,112 and 190,677,370,327 is: 413,016,941,934.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,029,947,112 : 190,677,370,327 = 190,677,370,327 : x
  2. Step 2: Convert to fraction form
    88,029,947,112/190,677,370,327 = 190,677,370,327/x
  3. Step 3: Cross multiply
    88,029,947,112x = 190,677,370,327 × 190,677,370,327
  4. Step 4: Simplify right side
    88,029,947,112x = 36,357,859,554,819,898,867,712
  5. Step 5: Solve for x
    x = 36,357,859,554,819,898,867,712/88,029,947,112
  6. Step 6: Final answer
    x = 413,016,941,934.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.