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Finding the Third Proportional to 218,484,533 and 468,133,098

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Solution

The third proportional to 218,484,533 and 468,133,098 is: 1,003,039,411.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,484,533 : 468,133,098 = 468,133,098 : x
  2. Step 2: Convert to fraction form
    218,484,533/468,133,098 = 468,133,098/x
  3. Step 3: Cross multiply
    218,484,533x = 468,133,098 × 468,133,098
  4. Step 4: Simplify right side
    218,484,533x = 219,148,597,443,077,600
  5. Step 5: Solve for x
    x = 219,148,597,443,077,600/218,484,533
  6. Step 6: Final answer
    x = 1,003,039,411.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.