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Finding the Third Proportional to 230,174,304 and 493,179,804

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Solution

The third proportional to 230,174,304 and 493,179,804 is: 1,056,704,918.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,174,304 : 493,179,804 = 493,179,804 : x
  2. Step 2: Convert to fraction form
    230,174,304/493,179,804 = 493,179,804/x
  3. Step 3: Cross multiply
    230,174,304x = 493,179,804 × 493,179,804
  4. Step 4: Simplify right side
    230,174,304x = 243,226,319,073,478,400
  5. Step 5: Solve for x
    x = 243,226,319,073,478,400/230,174,304
  6. Step 6: Final answer
    x = 1,056,704,918.17

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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.