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Finding the Third Proportional to 153,130,967 and 235,373,369

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Solution

The third proportional to 153,130,967 and 235,373,369 is: 361,785,887.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,130,967 : 235,373,369 = 235,373,369 : x
  2. Step 2: Convert to fraction form
    153,130,967/235,373,369 = 235,373,369/x
  3. Step 3: Cross multiply
    153,130,967x = 235,373,369 × 235,373,369
  4. Step 4: Simplify right side
    153,130,967x = 55,400,622,834,410,160
  5. Step 5: Solve for x
    x = 55,400,622,834,410,160/153,130,967
  6. Step 6: Final answer
    x = 361,785,887.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.