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Finding the Third Proportional to 230,547,044.81 and 356,593,734.28

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Solution

The third proportional to 230,547,044.81 and 356,593,734.28 is: 551,553,768.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,547,044.81 : 356,593,734.28 = 356,593,734.28 : x
  2. Step 2: Convert to fraction form
    230,547,044.81/356,593,734.28 = 356,593,734.28/x
  3. Step 3: Cross multiply
    230,547,044.81x = 356,593,734.28 × 356,593,734.28
  4. Step 4: Simplify right side
    230,547,044.81x = 127,159,091,328,646,736
  5. Step 5: Solve for x
    x = 127,159,091,328,646,736/230,547,044.81
  6. Step 6: Final answer
    x = 551,553,768.26

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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.