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Finding the Third Proportional to 134,264,894 and 207,328,486

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Solution

The third proportional to 134,264,894 and 207,328,486 is: 320,151,454.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,264,894 : 207,328,486 = 207,328,486 : x
  2. Step 2: Convert to fraction form
    134,264,894/207,328,486 = 207,328,486/x
  3. Step 3: Cross multiply
    134,264,894x = 207,328,486 × 207,328,486
  4. Step 4: Simplify right side
    134,264,894x = 42,985,101,107,052,192
  5. Step 5: Solve for x
    x = 42,985,101,107,052,192/134,264,894
  6. Step 6: Final answer
    x = 320,151,454.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.