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Finding the Third Proportional to 153,942,114 and 331,946,724

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Solution

The third proportional to 153,942,114 and 331,946,724 is: 715,779,618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,942,114 : 331,946,724 = 331,946,724 : x
  2. Step 2: Convert to fraction form
    153,942,114/331,946,724 = 331,946,724/x
  3. Step 3: Cross multiply
    153,942,114x = 331,946,724 × 331,946,724
  4. Step 4: Simplify right side
    153,942,114x = 110,188,627,574,332,176
  5. Step 5: Solve for x
    x = 110,188,627,574,332,176/153,942,114
  6. Step 6: Final answer
    x = 715,779,618.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.