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Finding the Third Proportional to 153,698,120 and 237,729,270

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Solution

The third proportional to 153,698,120 and 237,729,270 is: 367,702,648.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,698,120 : 237,729,270 = 237,729,270 : x
  2. Step 2: Convert to fraction form
    153,698,120/237,729,270 = 237,729,270/x
  3. Step 3: Cross multiply
    153,698,120x = 237,729,270 × 237,729,270
  4. Step 4: Simplify right side
    153,698,120x = 56,515,205,814,732,896
  5. Step 5: Solve for x
    x = 56,515,205,814,732,896/153,698,120
  6. Step 6: Final answer
    x = 367,702,648.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.