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Finding the Third Proportional to 156,931,583 and 215,424,223

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Solution

The third proportional to 156,931,583 and 215,424,223 is: 295,718,649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,931,583 : 215,424,223 = 215,424,223 : x
  2. Step 2: Convert to fraction form
    156,931,583/215,424,223 = 215,424,223/x
  3. Step 3: Cross multiply
    156,931,583x = 215,424,223 × 215,424,223
  4. Step 4: Simplify right side
    156,931,583x = 46,407,595,855,153,728
  5. Step 5: Solve for x
    x = 46,407,595,855,153,728/156,931,583
  6. Step 6: Final answer
    x = 295,718,649.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.