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Finding the Third Proportional to 157,674,838 and 337,140,188

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Solution

The third proportional to 157,674,838 and 337,140,188 is: 720,872,827.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,674,838 : 337,140,188 = 337,140,188 : x
  2. Step 2: Convert to fraction form
    157,674,838/337,140,188 = 337,140,188/x
  3. Step 3: Cross multiply
    157,674,838x = 337,140,188 × 337,140,188
  4. Step 4: Simplify right side
    157,674,838x = 113,663,506,364,675,344
  5. Step 5: Solve for x
    x = 113,663,506,364,675,344/157,674,838
  6. Step 6: Final answer
    x = 720,872,827.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.