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Finding the Third Proportional to 48,280,503 and 103,464,271

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Solution

The third proportional to 48,280,503 and 103,464,271 is: 221,722,117.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,280,503 : 103,464,271 = 103,464,271 : x
  2. Step 2: Convert to fraction form
    48,280,503/103,464,271 = 103,464,271/x
  3. Step 3: Cross multiply
    48,280,503x = 103,464,271 × 103,464,271
  4. Step 4: Simplify right side
    48,280,503x = 10,704,855,373,561,440
  5. Step 5: Solve for x
    x = 10,704,855,373,561,440/48,280,503
  6. Step 6: Final answer
    x = 221,722,117.80

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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.