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Finding the Third Proportional to 142,034,046.75 and 305,640,661.50

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Solution

The third proportional to 142,034,046.75 and 305,640,661.50 is: 657,702,967.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,034,046.75 : 305,640,661.50 = 305,640,661.50 : x
  2. Step 2: Convert to fraction form
    142,034,046.75/305,640,661.50 = 305,640,661.50/x
  3. Step 3: Cross multiply
    142,034,046.75x = 305,640,661.50 × 305,640,661.50
  4. Step 4: Simplify right side
    142,034,046.75x = 93,416,213,962,157,584
  5. Step 5: Solve for x
    x = 93,416,213,962,157,584/142,034,046.75
  6. Step 6: Final answer
    x = 657,702,967.00

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