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Finding the Third Proportional to 89,876,445 and 193,636,830

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Solution

The third proportional to 89,876,445 and 193,636,830 is: 417,186,304.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,876,445 : 193,636,830 = 193,636,830 : x
  2. Step 2: Convert to fraction form
    89,876,445/193,636,830 = 193,636,830/x
  3. Step 3: Cross multiply
    89,876,445x = 193,636,830 × 193,636,830
  4. Step 4: Simplify right side
    89,876,445x = 37,495,221,932,448,896
  5. Step 5: Solve for x
    x = 37,495,221,932,448,896/89,876,445
  6. Step 6: Final answer
    x = 417,186,304.29

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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.