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Finding the Third Proportional to 89,876,412 and 193,636,737

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Solution

The third proportional to 89,876,412 and 193,636,737 is: 417,186,056.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,876,412 : 193,636,737 = 193,636,737 : x
  2. Step 2: Convert to fraction form
    89,876,412/193,636,737 = 193,636,737/x
  3. Step 3: Cross multiply
    89,876,412x = 193,636,737 × 193,636,737
  4. Step 4: Simplify right side
    89,876,412x = 37,495,185,916,007,168
  5. Step 5: Solve for x
    x = 37,495,185,916,007,168/89,876,412
  6. Step 6: Final answer
    x = 417,186,056.74

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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.