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Finding the Third Proportional to 136,177,636.50 and 291,287,856

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Solution

The third proportional to 136,177,636.50 and 291,287,856 is: 623,073,048.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,177,636.50 : 291,287,856 = 291,287,856 : x
  2. Step 2: Convert to fraction form
    136,177,636.50/291,287,856 = 291,287,856/x
  3. Step 3: Cross multiply
    136,177,636.50x = 291,287,856 × 291,287,856
  4. Step 4: Simplify right side
    136,177,636.50x = 84,848,615,053,076,736
  5. Step 5: Solve for x
    x = 84,848,615,053,076,736/136,177,636.50
  6. Step 6: Final answer
    x = 623,073,048.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.