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Finding the Third Proportional to 46,945,332 and 100,832,220

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Solution

The third proportional to 46,945,332 and 100,832,220 is: 216,573,962.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,945,332 : 100,832,220 = 100,832,220 : x
  2. Step 2: Convert to fraction form
    46,945,332/100,832,220 = 100,832,220/x
  3. Step 3: Cross multiply
    46,945,332x = 100,832,220 × 100,832,220
  4. Step 4: Simplify right side
    46,945,332x = 10,167,136,590,128,400
  5. Step 5: Solve for x
    x = 10,167,136,590,128,400/46,945,332
  6. Step 6: Final answer
    x = 216,573,962.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.