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Finding the Third Proportional to 105,280,271 and 163,661,661

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Solution

The third proportional to 105,280,271 and 163,661,661 is: 254,417,461.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,280,271 : 163,661,661 = 163,661,661 : x
  2. Step 2: Convert to fraction form
    105,280,271/163,661,661 = 163,661,661/x
  3. Step 3: Cross multiply
    105,280,271x = 163,661,661 × 163,661,661
  4. Step 4: Simplify right side
    105,280,271x = 26,785,139,281,278,920
  5. Step 5: Solve for x
    x = 26,785,139,281,278,920/105,280,271
  6. Step 6: Final answer
    x = 254,417,461.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.