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Finding the Third Proportional to 48,476,598 and 103,671,659

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Solution

The third proportional to 48,476,598 and 103,671,659 is: 221,711,368.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,476,598 : 103,671,659 = 103,671,659 : x
  2. Step 2: Convert to fraction form
    48,476,598/103,671,659 = 103,671,659/x
  3. Step 3: Cross multiply
    48,476,598x = 103,671,659 × 103,671,659
  4. Step 4: Simplify right side
    48,476,598x = 10,747,812,879,812,280
  5. Step 5: Solve for x
    x = 10,747,812,879,812,280/48,476,598
  6. Step 6: Final answer
    x = 221,711,368.44

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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.