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Finding the Third Proportional to 45,095,069 and 96,567,417

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Solution

The third proportional to 45,095,069 and 96,567,417 is: 206,791,257.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,095,069 : 96,567,417 = 96,567,417 : x
  2. Step 2: Convert to fraction form
    45,095,069/96,567,417 = 96,567,417/x
  3. Step 3: Cross multiply
    45,095,069x = 96,567,417 × 96,567,417
  4. Step 4: Simplify right side
    45,095,069x = 9,325,266,026,051,888
  5. Step 5: Solve for x
    x = 9,325,266,026,051,888/45,095,069
  6. Step 6: Final answer
    x = 206,791,257.51

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.