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Finding the Third Proportional to 89,781,444 and 192,989,196

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Solution

The third proportional to 89,781,444 and 192,989,196 is: 414,838,836.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,781,444 : 192,989,196 = 192,989,196 : x
  2. Step 2: Convert to fraction form
    89,781,444/192,989,196 = 192,989,196/x
  3. Step 3: Cross multiply
    89,781,444x = 192,989,196 × 192,989,196
  4. Step 4: Simplify right side
    89,781,444x = 37,244,829,772,726,416
  5. Step 5: Solve for x
    x = 37,244,829,772,726,416/89,781,444
  6. Step 6: Final answer
    x = 414,838,836.55

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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.