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Finding the Third Proportional to 216,002,156 and 473,033,944

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Solution

The third proportional to 216,002,156 and 473,033,944 is: 1,035,920,734.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,002,156 : 473,033,944 = 473,033,944 : x
  2. Step 2: Convert to fraction form
    216,002,156/473,033,944 = 473,033,944/x
  3. Step 3: Cross multiply
    216,002,156x = 473,033,944 × 473,033,944
  4. Step 4: Simplify right side
    216,002,156x = 223,761,112,176,195,136
  5. Step 5: Solve for x
    x = 223,761,112,176,195,136/216,002,156
  6. Step 6: Final answer
    x = 1,035,920,734.87

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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.