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Finding the Third Proportional to 230,992,764 and 513,631,776

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Solution

The third proportional to 230,992,764 and 513,631,776 is: 1,142,103,314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,992,764 : 513,631,776 = 513,631,776 : x
  2. Step 2: Convert to fraction form
    230,992,764/513,631,776 = 513,631,776/x
  3. Step 3: Cross multiply
    230,992,764x = 513,631,776 × 513,631,776
  4. Step 4: Simplify right side
    230,992,764x = 263,817,601,316,914,176
  5. Step 5: Solve for x
    x = 263,817,601,316,914,176/230,992,764
  6. Step 6: Final answer
    x = 1,142,103,314.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.