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Finding the Third Proportional to 42,443,747 and 90,938,174

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Solution

The third proportional to 42,443,747 and 90,938,174 is: 194,840,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,443,747 : 90,938,174 = 90,938,174 : x
  2. Step 2: Convert to fraction form
    42,443,747/90,938,174 = 90,938,174/x
  3. Step 3: Cross multiply
    42,443,747x = 90,938,174 × 90,938,174
  4. Step 4: Simplify right side
    42,443,747x = 8,269,751,490,454,276
  5. Step 5: Solve for x
    x = 8,269,751,490,454,276/42,443,747
  6. Step 6: Final answer
    x = 194,840,278.60

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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.