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Finding the Third Proportional to 153,131,010 and 235,373,434.50

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Solution

The third proportional to 153,131,010 and 235,373,434.50 is: 361,785,987.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,131,010 : 235,373,434.50 = 235,373,434.50 : x
  2. Step 2: Convert to fraction form
    153,131,010/235,373,434.50 = 235,373,434.50/x
  3. Step 3: Cross multiply
    153,131,010x = 235,373,434.50 × 235,373,434.50
  4. Step 4: Simplify right side
    153,131,010x = 55,400,653,668,325,792
  5. Step 5: Solve for x
    x = 55,400,653,668,325,792/153,131,010
  6. Step 6: Final answer
    x = 361,785,987.49

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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.