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Finding the Third Proportional to 135,934,650 and 201,353,818.50

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Solution

The third proportional to 135,934,650 and 201,353,818.50 is: 298,256,259.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,934,650 : 201,353,818.50 = 201,353,818.50 : x
  2. Step 2: Convert to fraction form
    135,934,650/201,353,818.50 = 201,353,818.50/x
  3. Step 3: Cross multiply
    135,934,650x = 201,353,818.50 × 201,353,818.50
  4. Step 4: Simplify right side
    135,934,650x = 40,543,360,224,530,944
  5. Step 5: Solve for x
    x = 40,543,360,224,530,944/135,934,650
  6. Step 6: Final answer
    x = 298,256,259.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.