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Finding the Third Proportional to 88,029,947,110 and 190,677,370,323

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Solution

The third proportional to 88,029,947,110 and 190,677,370,323 is: 413,016,941,926.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,029,947,110 : 190,677,370,323 = 190,677,370,323 : x
  2. Step 2: Convert to fraction form
    88,029,947,110/190,677,370,323 = 190,677,370,323/x
  3. Step 3: Cross multiply
    88,029,947,110x = 190,677,370,323 × 190,677,370,323
  4. Step 4: Simplify right side
    88,029,947,110x = 36,357,859,553,294,480,834,560
  5. Step 5: Solve for x
    x = 36,357,859,553,294,480,834,560/88,029,947,110
  6. Step 6: Final answer
    x = 413,016,941,926.17

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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.