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Finding the Third Proportional to 185,207,100 and 272,457,306

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Solution

The third proportional to 185,207,100 and 272,457,306 is: 400,810,679.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,207,100 : 272,457,306 = 272,457,306 : x
  2. Step 2: Convert to fraction form
    185,207,100/272,457,306 = 272,457,306/x
  3. Step 3: Cross multiply
    185,207,100x = 272,457,306 × 272,457,306
  4. Step 4: Simplify right side
    185,207,100x = 74,232,983,592,777,632
  5. Step 5: Solve for x
    x = 74,232,983,592,777,632/185,207,100
  6. Step 6: Final answer
    x = 400,810,679.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.