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Finding the Third Proportional to 42,155,674.50 and 97,584,309

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Solution

The third proportional to 42,155,674.50 and 97,584,309 is: 225,893,606.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,155,674.50 : 97,584,309 = 97,584,309 : x
  2. Step 2: Convert to fraction form
    42,155,674.50/97,584,309 = 97,584,309/x
  3. Step 3: Cross multiply
    42,155,674.50x = 97,584,309 × 97,584,309
  4. Step 4: Simplify right side
    42,155,674.50x = 9,522,697,363,007,480
  5. Step 5: Solve for x
    x = 9,522,697,363,007,480/42,155,674.50
  6. Step 6: Final answer
    x = 225,893,606.87

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.