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Finding the Third Proportional to 45,193,010 and 98,836,588

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Solution

The third proportional to 45,193,010 and 98,836,588 is: 216,154,470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,193,010 : 98,836,588 = 98,836,588 : x
  2. Step 2: Convert to fraction form
    45,193,010/98,836,588 = 98,836,588/x
  3. Step 3: Cross multiply
    45,193,010x = 98,836,588 × 98,836,588
  4. Step 4: Simplify right side
    45,193,010x = 9,768,671,127,481,744
  5. Step 5: Solve for x
    x = 9,768,671,127,481,744/45,193,010
  6. Step 6: Final answer
    x = 216,154,470.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.