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Finding the Third Proportional to 191,170,240.75 and 295,200,307.50

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Solution

The third proportional to 191,170,240.75 and 295,200,307.50 is: 455,840,936.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,170,240.75 : 295,200,307.50 = 295,200,307.50 : x
  2. Step 2: Convert to fraction form
    191,170,240.75/295,200,307.50 = 295,200,307.50/x
  3. Step 3: Cross multiply
    191,170,240.75x = 295,200,307.50 × 295,200,307.50
  4. Step 4: Simplify right side
    191,170,240.75x = 87,143,221,548,094,560
  5. Step 5: Solve for x
    x = 87,143,221,548,094,560/191,170,240.75
  6. Step 6: Final answer
    x = 455,840,936.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.