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Finding the Third Proportional to 180,113,258 and 424,757,105

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Solution

The third proportional to 180,113,258 and 424,757,105 is: 1,001,695,268.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,113,258 : 424,757,105 = 424,757,105 : x
  2. Step 2: Convert to fraction form
    180,113,258/424,757,105 = 424,757,105/x
  3. Step 3: Cross multiply
    180,113,258x = 424,757,105 × 424,757,105
  4. Step 4: Simplify right side
    180,113,258x = 180,418,598,247,981,024
  5. Step 5: Solve for x
    x = 180,418,598,247,981,024/180,113,258
  6. Step 6: Final answer
    x = 1,001,695,268.03

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.