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Finding the Third Proportional to 242,874,384.19 and 524,527,867.69

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Solution

The third proportional to 242,874,384.19 and 524,527,867.69 is: 1,132,805,688.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,874,384.19 : 524,527,867.69 = 524,527,867.69 : x
  2. Step 2: Convert to fraction form
    242,874,384.19/524,527,867.69 = 524,527,867.69/x
  3. Step 3: Cross multiply
    242,874,384.19x = 524,527,867.69 × 524,527,867.69
  4. Step 4: Simplify right side
    242,874,384.19x = 275,129,483,980,795,520
  5. Step 5: Solve for x
    x = 275,129,483,980,795,520/242,874,384.19
  6. Step 6: Final answer
    x = 1,132,805,688.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.