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Finding the Third Proportional to 85,367,946.50 and 183,683,514.50

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Solution

The third proportional to 85,367,946.50 and 183,683,514.50 is: 395,226,017.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,367,946.50 : 183,683,514.50 = 183,683,514.50 : x
  2. Step 2: Convert to fraction form
    85,367,946.50/183,683,514.50 = 183,683,514.50/x
  3. Step 3: Cross multiply
    85,367,946.50x = 183,683,514.50 × 183,683,514.50
  4. Step 4: Simplify right side
    85,367,946.50x = 33,739,633,499,071,712
  5. Step 5: Solve for x
    x = 33,739,633,499,071,712/85,367,946.50
  6. Step 6: Final answer
    x = 395,226,017.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.