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Finding the Third Proportional to 42,591,348 and 92,645,154

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Solution

The third proportional to 42,591,348 and 92,645,154 is: 201,522,726.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,591,348 : 92,645,154 = 92,645,154 : x
  2. Step 2: Convert to fraction form
    42,591,348/92,645,154 = 92,645,154/x
  3. Step 3: Cross multiply
    42,591,348x = 92,645,154 × 92,645,154
  4. Step 4: Simplify right side
    42,591,348x = 8,583,124,559,683,716
  5. Step 5: Solve for x
    x = 8,583,124,559,683,716/42,591,348
  6. Step 6: Final answer
    x = 201,522,726.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.