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Finding the Third Proportional to 195,572,140 and 414,457,588

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Solution

The third proportional to 195,572,140 and 414,457,588 is: 878,320,870.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,572,140 : 414,457,588 = 414,457,588 : x
  2. Step 2: Convert to fraction form
    195,572,140/414,457,588 = 414,457,588/x
  3. Step 3: Cross multiply
    195,572,140x = 414,457,588 × 414,457,588
  4. Step 4: Simplify right side
    195,572,140x = 171,775,092,250,777,728
  5. Step 5: Solve for x
    x = 171,775,092,250,777,728/195,572,140
  6. Step 6: Final answer
    x = 878,320,870.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.