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Finding the Third Proportional to 61,027,970.48 and 133,907,976.14

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Solution

The third proportional to 61,027,970.48 and 133,907,976.14 is: 293,821,766.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,027,970.48 : 133,907,976.14 = 133,907,976.14 : x
  2. Step 2: Convert to fraction form
    61,027,970.48/133,907,976.14 = 133,907,976.14/x
  3. Step 3: Cross multiply
    61,027,970.48x = 133,907,976.14 × 133,907,976.14
  4. Step 4: Simplify right side
    61,027,970.48x = 17,931,346,074,076,854
  5. Step 5: Solve for x
    x = 17,931,346,074,076,854/61,027,970.48
  6. Step 6: Final answer
    x = 293,821,766.18

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