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Finding the Third Proportional to 151,048,170 and 233,244,808.50

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Solution

The third proportional to 151,048,170 and 233,244,808.50 is: 360,170,803.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,048,170 : 233,244,808.50 = 233,244,808.50 : x
  2. Step 2: Convert to fraction form
    151,048,170/233,244,808.50 = 233,244,808.50/x
  3. Step 3: Cross multiply
    151,048,170x = 233,244,808.50 × 233,244,808.50
  4. Step 4: Simplify right side
    151,048,170x = 54,403,140,692,201,672
  5. Step 5: Solve for x
    x = 54,403,140,692,201,672/151,048,170
  6. Step 6: Final answer
    x = 360,170,803.08

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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.