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Finding the Third Proportional to 42,693,501.75 and 93,614,497.50

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Solution

The third proportional to 42,693,501.75 and 93,614,497.50 is: 205,269,509.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,693,501.75 : 93,614,497.50 = 93,614,497.50 : x
  2. Step 2: Convert to fraction form
    42,693,501.75/93,614,497.50 = 93,614,497.50/x
  3. Step 3: Cross multiply
    42,693,501.75x = 93,614,497.50 × 93,614,497.50
  4. Step 4: Simplify right side
    42,693,501.75x = 8,763,674,142,177,506
  5. Step 5: Solve for x
    x = 8,763,674,142,177,506/42,693,501.75
  6. Step 6: Final answer
    x = 205,269,509.01

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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.