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Finding the Third Proportional to 230,547,174 and 356,593,896

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Solution

The third proportional to 230,547,174 and 356,593,896 is: 551,553,959.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,547,174 : 356,593,896 = 356,593,896 : x
  2. Step 2: Convert to fraction form
    230,547,174/356,593,896 = 356,593,896/x
  3. Step 3: Cross multiply
    230,547,174x = 356,593,896 × 356,593,896
  4. Step 4: Simplify right side
    230,547,174x = 127,159,206,664,458,816
  5. Step 5: Solve for x
    x = 127,159,206,664,458,816/230,547,174
  6. Step 6: Final answer
    x = 551,553,959.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.