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Finding the Third Proportional to 105,280,253 and 163,661,634

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Solution

The third proportional to 105,280,253 and 163,661,634 is: 254,417,420.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,280,253 : 163,661,634 = 163,661,634 : x
  2. Step 2: Convert to fraction form
    105,280,253/163,661,634 = 163,661,634/x
  3. Step 3: Cross multiply
    105,280,253x = 163,661,634 × 163,661,634
  4. Step 4: Simplify right side
    105,280,253x = 26,785,130,443,549,956
  5. Step 5: Solve for x
    x = 26,785,130,443,549,956/105,280,253
  6. Step 6: Final answer
    x = 254,417,420.93

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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.