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Finding the Third Proportional to 81,607,084 and 172,425,224

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Solution

The third proportional to 81,607,084 and 172,425,224 is: 364,312,219.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,607,084 : 172,425,224 = 172,425,224 : x
  2. Step 2: Convert to fraction form
    81,607,084/172,425,224 = 172,425,224/x
  3. Step 3: Cross multiply
    81,607,084x = 172,425,224 × 172,425,224
  4. Step 4: Simplify right side
    81,607,084x = 29,730,457,871,450,176
  5. Step 5: Solve for x
    x = 29,730,457,871,450,176/81,607,084
  6. Step 6: Final answer
    x = 364,312,219.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.