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Finding the Third Proportional to 42,905,724 and 93,832,938

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Solution

The third proportional to 42,905,724 and 93,832,938 is: 205,208,523.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,905,724 : 93,832,938 = 93,832,938 : x
  2. Step 2: Convert to fraction form
    42,905,724/93,832,938 = 93,832,938/x
  3. Step 3: Cross multiply
    42,905,724x = 93,832,938 × 93,832,938
  4. Step 4: Simplify right side
    42,905,724x = 8,804,620,253,711,844
  5. Step 5: Solve for x
    x = 8,804,620,253,711,844/42,905,724
  6. Step 6: Final answer
    x = 205,208,523.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.