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Finding the Third Proportional to 109,765,713.75 and 238,662,574.50

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Solution

The third proportional to 109,765,713.75 and 238,662,574.50 is: 518,921,824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,765,713.75 : 238,662,574.50 = 238,662,574.50 : x
  2. Step 2: Convert to fraction form
    109,765,713.75/238,662,574.50 = 238,662,574.50/x
  3. Step 3: Cross multiply
    109,765,713.75x = 238,662,574.50 × 238,662,574.50
  4. Step 4: Simplify right side
    109,765,713.75x = 56,959,824,466,968,048
  5. Step 5: Solve for x
    x = 56,959,824,466,968,048/109,765,713.75
  6. Step 6: Final answer
    x = 518,921,824.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.