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Finding the Third Proportional to 230,092,823 and 310,971,490

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Solution

The third proportional to 230,092,823 and 310,971,490 is: 420,279,373.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,092,823 : 310,971,490 = 310,971,490 : x
  2. Step 2: Convert to fraction form
    230,092,823/310,971,490 = 310,971,490/x
  3. Step 3: Cross multiply
    230,092,823x = 310,971,490 × 310,971,490
  4. Step 4: Simplify right side
    230,092,823x = 96,703,267,592,820,096
  5. Step 5: Solve for x
    x = 96,703,267,592,820,096/230,092,823
  6. Step 6: Final answer
    x = 420,279,373.92

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.