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Finding the Third Proportional to 61,518,976.50 and 145,221,424.50

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Solution

The third proportional to 61,518,976.50 and 145,221,424.50 is: 342,809,053.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,518,976.50 : 145,221,424.50 = 145,221,424.50 : x
  2. Step 2: Convert to fraction form
    61,518,976.50/145,221,424.50 = 145,221,424.50/x
  3. Step 3: Cross multiply
    61,518,976.50x = 145,221,424.50 × 145,221,424.50
  4. Step 4: Simplify right side
    61,518,976.50x = 21,089,262,133,809,200
  5. Step 5: Solve for x
    x = 21,089,262,133,809,200/61,518,976.50
  6. Step 6: Final answer
    x = 342,809,053.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.