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Finding the Third Proportional to 151,048,127 and 233,244,736

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Solution

The third proportional to 151,048,127 and 233,244,736 is: 360,170,681.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,048,127 : 233,244,736 = 233,244,736 : x
  2. Step 2: Convert to fraction form
    151,048,127/233,244,736 = 233,244,736/x
  3. Step 3: Cross multiply
    151,048,127x = 233,244,736 × 233,244,736
  4. Step 4: Simplify right side
    151,048,127x = 54,403,106,871,709,696
  5. Step 5: Solve for x
    x = 54,403,106,871,709,696/151,048,127
  6. Step 6: Final answer
    x = 360,170,681.70

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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.