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Finding the Third Proportional to 91,537,368 and 138,157,314

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Solution

The third proportional to 91,537,368 and 138,157,314 is: 208,520,780.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,537,368 : 138,157,314 = 138,157,314 : x
  2. Step 2: Convert to fraction form
    91,537,368/138,157,314 = 138,157,314/x
  3. Step 3: Cross multiply
    91,537,368x = 138,157,314 × 138,157,314
  4. Step 4: Simplify right side
    91,537,368x = 19,087,443,411,694,596
  5. Step 5: Solve for x
    x = 19,087,443,411,694,596/91,537,368
  6. Step 6: Final answer
    x = 208,520,780.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.