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Finding the Third Proportional to 77,898,048 and 168,722,632.50

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Solution

The third proportional to 77,898,048 and 168,722,632.50 is: 365,443,389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,898,048 : 168,722,632.50 = 168,722,632.50 : x
  2. Step 2: Convert to fraction form
    77,898,048/168,722,632.50 = 168,722,632.50/x
  3. Step 3: Cross multiply
    77,898,048x = 168,722,632.50 × 168,722,632.50
  4. Step 4: Simplify right side
    77,898,048x = 28,467,326,717,730,056
  5. Step 5: Solve for x
    x = 28,467,326,717,730,056/77,898,048
  6. Step 6: Final answer
    x = 365,443,389.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.