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Finding the Third Proportional to 89,876,442.38 and 193,636,828.13

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Solution

The third proportional to 89,876,442.38 and 193,636,828.13 is: 417,186,308.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,876,442.38 : 193,636,828.13 = 193,636,828.13 : x
  2. Step 2: Convert to fraction form
    89,876,442.38/193,636,828.13 = 193,636,828.13/x
  3. Step 3: Cross multiply
    89,876,442.38x = 193,636,828.13 × 193,636,828.13
  4. Step 4: Simplify right side
    89,876,442.38x = 37,495,221,206,310,792
  5. Step 5: Solve for x
    x = 37,495,221,206,310,792/89,876,442.38
  6. Step 6: Final answer
    x = 417,186,308.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.