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Finding the Third Proportional to 94,044,816 and 145,257,816

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Solution

The third proportional to 94,044,816 and 145,257,816 is: 224,359,342.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,044,816 : 145,257,816 = 145,257,816 : x
  2. Step 2: Convert to fraction form
    94,044,816/145,257,816 = 145,257,816/x
  3. Step 3: Cross multiply
    94,044,816x = 145,257,816 × 145,257,816
  4. Step 4: Simplify right side
    94,044,816x = 21,099,833,109,089,856
  5. Step 5: Solve for x
    x = 21,099,833,109,089,856/94,044,816
  6. Step 6: Final answer
    x = 224,359,342.77

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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.