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Finding the Third Proportional to 42,778,658.25 and 92,376,558

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Solution

The third proportional to 42,778,658.25 and 92,376,558 is: 199,478,637.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,778,658.25 : 92,376,558 = 92,376,558 : x
  2. Step 2: Convert to fraction form
    42,778,658.25/92,376,558 = 92,376,558/x
  3. Step 3: Cross multiply
    42,778,658.25x = 92,376,558 × 92,376,558
  4. Step 4: Simplify right side
    42,778,658.25x = 8,533,428,467,927,364
  5. Step 5: Solve for x
    x = 8,533,428,467,927,364/42,778,658.25
  6. Step 6: Final answer
    x = 199,478,637.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.