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Finding the Third Proportional to 230,160,044 and 492,967,624

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Solution

The third proportional to 230,160,044 and 492,967,624 is: 1,055,861,278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,160,044 : 492,967,624 = 492,967,624 : x
  2. Step 2: Convert to fraction form
    230,160,044/492,967,624 = 492,967,624/x
  3. Step 3: Cross multiply
    230,160,044x = 492,967,624 × 492,967,624
  4. Step 4: Simplify right side
    230,160,044x = 243,017,078,312,205,376
  5. Step 5: Solve for x
    x = 243,017,078,312,205,376/230,160,044
  6. Step 6: Final answer
    x = 1,055,861,278.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.