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Finding the Third Proportional to 114,056,002.13 and 234,158,401.13

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Solution

The third proportional to 114,056,002.13 and 234,158,401.13 is: 480,730,130.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,056,002.13 : 234,158,401.13 = 234,158,401.13 : x
  2. Step 2: Convert to fraction form
    114,056,002.13/234,158,401.13 = 234,158,401.13/x
  3. Step 3: Cross multiply
    114,056,002.13x = 234,158,401.13 × 234,158,401.13
  4. Step 4: Simplify right side
    114,056,002.13x = 54,830,156,817,416,400
  5. Step 5: Solve for x
    x = 54,830,156,817,416,400/114,056,002.13
  6. Step 6: Final answer
    x = 480,730,130.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.