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Finding the Third Proportional to 230,547,161.25 and 356,593,903.88

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Solution

The third proportional to 230,547,161.25 and 356,593,903.88 is: 551,554,014.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,547,161.25 : 356,593,903.88 = 356,593,903.88 : x
  2. Step 2: Convert to fraction form
    230,547,161.25/356,593,903.88 = 356,593,903.88/x
  3. Step 3: Cross multiply
    230,547,161.25x = 356,593,903.88 × 356,593,903.88
  4. Step 4: Simplify right side
    230,547,161.25x = 127,159,212,280,812,736
  5. Step 5: Solve for x
    x = 127,159,212,280,812,736/230,547,161.25
  6. Step 6: Final answer
    x = 551,554,014.33

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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.