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Finding the Third Proportional to 191,127,294 and 295,140,240

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Solution

The third proportional to 191,127,294 and 295,140,240 is: 455,757,832.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,127,294 : 295,140,240 = 295,140,240 : x
  2. Step 2: Convert to fraction form
    191,127,294/295,140,240 = 295,140,240/x
  3. Step 3: Cross multiply
    191,127,294x = 295,140,240 × 295,140,240
  4. Step 4: Simplify right side
    191,127,294x = 87,107,761,267,257,600
  5. Step 5: Solve for x
    x = 87,107,761,267,257,600/191,127,294
  6. Step 6: Final answer
    x = 455,757,832.62

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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.