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Finding the Third Proportional to 188,947,505.25 and 293,257,837.13

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Solution

The third proportional to 188,947,505.25 and 293,257,837.13 is: 455,153,715.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,947,505.25 : 293,257,837.13 = 293,257,837.13 : x
  2. Step 2: Convert to fraction form
    188,947,505.25/293,257,837.13 = 293,257,837.13/x
  3. Step 3: Cross multiply
    188,947,505.25x = 293,257,837.13 × 293,257,837.13
  4. Step 4: Simplify right side
    188,947,505.25x = 86,000,159,035,233,024
  5. Step 5: Solve for x
    x = 86,000,159,035,233,024/188,947,505.25
  6. Step 6: Final answer
    x = 455,153,715.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.