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Finding the Third Proportional to 149,649,138,540 and 309,905,931,595.50

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Solution

The third proportional to 149,649,138,540 and 309,905,931,595.50 is: 641,779,079,886.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,649,138,540 : 309,905,931,595.50 = 309,905,931,595.50 : x
  2. Step 2: Convert to fraction form
    149,649,138,540/309,905,931,595.50 = 309,905,931,595.50/x
  3. Step 3: Cross multiply
    149,649,138,540x = 309,905,931,595.50 × 309,905,931,595.50
  4. Step 4: Simplify right side
    149,649,138,540x = 96,041,686,438,074,719,928,320
  5. Step 5: Solve for x
    x = 96,041,686,438,074,719,928,320/149,649,138,540
  6. Step 6: Final answer
    x = 641,779,079,886.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.