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Finding the Third Proportional to 110,734,208 and 242,312,472

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Solution

The third proportional to 110,734,208 and 242,312,472 is: 530,236,637.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,734,208 : 242,312,472 = 242,312,472 : x
  2. Step 2: Convert to fraction form
    110,734,208/242,312,472 = 242,312,472/x
  3. Step 3: Cross multiply
    110,734,208x = 242,312,472 × 242,312,472
  4. Step 4: Simplify right side
    110,734,208x = 58,715,334,086,750,784
  5. Step 5: Solve for x
    x = 58,715,334,086,750,784/110,734,208
  6. Step 6: Final answer
    x = 530,236,637.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.