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Finding the Third Proportional to 151,048,081.13 and 233,244,662.63

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Solution

The third proportional to 151,048,081.13 and 233,244,662.63 is: 360,170,564.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,048,081.13 : 233,244,662.63 = 233,244,662.63 : x
  2. Step 2: Convert to fraction form
    151,048,081.13/233,244,662.63 = 233,244,662.63/x
  3. Step 3: Cross multiply
    151,048,081.13x = 233,244,662.63 × 233,244,662.63
  4. Step 4: Simplify right side
    151,048,081.13x = 54,403,072,643,050,072
  5. Step 5: Solve for x
    x = 54,403,072,643,050,072/151,048,081.13
  6. Step 6: Final answer
    x = 360,170,564.48

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