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Finding the Third Proportional to 134,198,918 and 293,518,206

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Solution

The third proportional to 134,198,918 and 293,518,206 is: 641,979,373.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,198,918 : 293,518,206 = 293,518,206 : x
  2. Step 2: Convert to fraction form
    134,198,918/293,518,206 = 293,518,206/x
  3. Step 3: Cross multiply
    134,198,918x = 293,518,206 × 293,518,206
  4. Step 4: Simplify right side
    134,198,918x = 86,152,937,253,458,432
  5. Step 5: Solve for x
    x = 86,152,937,253,458,432/134,198,918
  6. Step 6: Final answer
    x = 641,979,373.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.