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Finding the Third Proportional to 105,280,224 and 163,661,590

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Solution

The third proportional to 105,280,224 and 163,661,590 is: 254,417,354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,280,224 : 163,661,590 = 163,661,590 : x
  2. Step 2: Convert to fraction form
    105,280,224/163,661,590 = 163,661,590/x
  3. Step 3: Cross multiply
    105,280,224x = 163,661,590 × 163,661,590
  4. Step 4: Simplify right side
    105,280,224x = 26,785,116,041,328,100
  5. Step 5: Solve for x
    x = 26,785,116,041,328,100/105,280,224
  6. Step 6: Final answer
    x = 254,417,354.22

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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.