Home / 142,612,167.75-312,564,022.50

Finding the Third Proportional to 142,612,167.75 and 312,564,022.50

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Solution

The third proportional to 142,612,167.75 and 312,564,022.50 is: 685,048,616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,612,167.75 : 312,564,022.50 = 312,564,022.50 : x
  2. Step 2: Convert to fraction form
    142,612,167.75/312,564,022.50 = 312,564,022.50/x
  3. Step 3: Cross multiply
    142,612,167.75x = 312,564,022.50 × 312,564,022.50
  4. Step 4: Simplify right side
    142,612,167.75x = 97,696,268,161,380,512
  5. Step 5: Solve for x
    x = 97,696,268,161,380,512/142,612,167.75
  6. Step 6: Final answer
    x = 685,048,616.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.