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Finding the Third Proportional to 71,025,210.75 and 152,623,875.75

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Solution

The third proportional to 71,025,210.75 and 152,623,875.75 is: 327,968,719.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,025,210.75 : 152,623,875.75 = 152,623,875.75 : x
  2. Step 2: Convert to fraction form
    71,025,210.75/152,623,875.75 = 152,623,875.75/x
  3. Step 3: Cross multiply
    71,025,210.75x = 152,623,875.75 × 152,623,875.75
  4. Step 4: Simplify right side
    71,025,210.75x = 23,294,047,448,951,440
  5. Step 5: Solve for x
    x = 23,294,047,448,951,440/71,025,210.75
  6. Step 6: Final answer
    x = 327,968,719.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.