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Finding the Third Proportional to 157,129,874 and 341,460,196

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Solution

The third proportional to 157,129,874 and 341,460,196 is: 742,029,904.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,129,874 : 341,460,196 = 341,460,196 : x
  2. Step 2: Convert to fraction form
    157,129,874/341,460,196 = 341,460,196/x
  3. Step 3: Cross multiply
    157,129,874x = 341,460,196 × 341,460,196
  4. Step 4: Simplify right side
    157,129,874x = 116,595,065,452,358,416
  5. Step 5: Solve for x
    x = 116,595,065,452,358,416/157,129,874
  6. Step 6: Final answer
    x = 742,029,904.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.