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Finding the Third Proportional to 46,098,242,138 and 102,795,964,301

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Solution

The third proportional to 46,098,242,138 and 102,795,964,301 is: 229,228,052,664.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,098,242,138 : 102,795,964,301 = 102,795,964,301 : x
  2. Step 2: Convert to fraction form
    46,098,242,138/102,795,964,301 = 102,795,964,301/x
  3. Step 3: Cross multiply
    46,098,242,138x = 102,795,964,301 × 102,795,964,301
  4. Step 4: Simplify right side
    46,098,242,138x = 10,567,010,276,572,466,774,016
  5. Step 5: Solve for x
    x = 10,567,010,276,572,466,774,016/46,098,242,138
  6. Step 6: Final answer
    x = 229,228,052,664.98

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.