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Finding the Third Proportional to 42,443,733 and 90,938,145.75

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Solution

The third proportional to 42,443,733 and 90,938,145.75 is: 194,840,221.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,443,733 : 90,938,145.75 = 90,938,145.75 : x
  2. Step 2: Convert to fraction form
    42,443,733/90,938,145.75 = 90,938,145.75/x
  3. Step 3: Cross multiply
    42,443,733x = 90,938,145.75 × 90,938,145.75
  4. Step 4: Simplify right side
    42,443,733x = 8,269,746,352,448,243
  5. Step 5: Solve for x
    x = 8,269,746,352,448,243/42,443,733
  6. Step 6: Final answer
    x = 194,840,221.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.