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Finding the Third Proportional to 105,698,542 and 161,706,935

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Solution

The third proportional to 105,698,542 and 161,706,935 is: 247,393,505.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,698,542 : 161,706,935 = 161,706,935 : x
  2. Step 2: Convert to fraction form
    105,698,542/161,706,935 = 161,706,935/x
  3. Step 3: Cross multiply
    105,698,542x = 161,706,935 × 161,706,935
  4. Step 4: Simplify right side
    105,698,542x = 26,149,132,827,094,224
  5. Step 5: Solve for x
    x = 26,149,132,827,094,224/105,698,542
  6. Step 6: Final answer
    x = 247,393,505.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.