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Finding the Third Proportional to 132,586,228.13 and 200,713,090.50

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Solution

The third proportional to 132,586,228.13 and 200,713,090.50 is: 303,845,620.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,586,228.13 : 200,713,090.50 = 200,713,090.50 : x
  2. Step 2: Convert to fraction form
    132,586,228.13/200,713,090.50 = 200,713,090.50/x
  3. Step 3: Cross multiply
    132,586,228.13x = 200,713,090.50 × 200,713,090.50
  4. Step 4: Simplify right side
    132,586,228.13x = 40,285,744,698,061,192
  5. Step 5: Solve for x
    x = 40,285,744,698,061,192/132,586,228.13
  6. Step 6: Final answer
    x = 303,845,620.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.