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Finding the Third Proportional to 48,370,645.97 and 105,244,196.06

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Solution

The third proportional to 48,370,645.97 and 105,244,196.06 is: 228,988,895.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,370,645.97 : 105,244,196.06 = 105,244,196.06 : x
  2. Step 2: Convert to fraction form
    48,370,645.97/105,244,196.06 = 105,244,196.06/x
  3. Step 3: Cross multiply
    48,370,645.97x = 105,244,196.06 × 105,244,196.06
  4. Step 4: Simplify right side
    48,370,645.97x = 11,076,340,804,841,940
  5. Step 5: Solve for x
    x = 11,076,340,804,841,940/48,370,645.97
  6. Step 6: Final answer
    x = 228,988,895.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.