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Finding the Third Proportional to 76,746,706.50 and 118,084,296

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Solution

The third proportional to 76,746,706.50 and 118,084,296 is: 181,687,287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,746,706.50 : 118,084,296 = 118,084,296 : x
  2. Step 2: Convert to fraction form
    76,746,706.50/118,084,296 = 118,084,296/x
  3. Step 3: Cross multiply
    76,746,706.50x = 118,084,296 × 118,084,296
  4. Step 4: Simplify right side
    76,746,706.50x = 13,943,900,961,815,616
  5. Step 5: Solve for x
    x = 13,943,900,961,815,616/76,746,706.50
  6. Step 6: Final answer
    x = 181,687,287.93

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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.