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Finding the Third Proportional to 157,438,012 and 341,637,400

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Solution

The third proportional to 157,438,012 and 341,637,400 is: 741,346,461.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,438,012 : 341,637,400 = 341,637,400 : x
  2. Step 2: Convert to fraction form
    157,438,012/341,637,400 = 341,637,400/x
  3. Step 3: Cross multiply
    157,438,012x = 341,637,400 × 341,637,400
  4. Step 4: Simplify right side
    157,438,012x = 116,716,113,078,760,000
  5. Step 5: Solve for x
    x = 116,716,113,078,760,000/157,438,012
  6. Step 6: Final answer
    x = 741,346,461.35

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