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Finding the Third Proportional to 216,002,158 and 473,033,948

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Solution

The third proportional to 216,002,158 and 473,033,948 is: 1,035,920,742.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,002,158 : 473,033,948 = 473,033,948 : x
  2. Step 2: Convert to fraction form
    216,002,158/473,033,948 = 473,033,948/x
  3. Step 3: Cross multiply
    216,002,158x = 473,033,948 × 473,033,948
  4. Step 4: Simplify right side
    216,002,158x = 223,761,115,960,466,688
  5. Step 5: Solve for x
    x = 223,761,115,960,466,688/216,002,158
  6. Step 6: Final answer
    x = 1,035,920,742.79

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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.