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Finding the Third Proportional to 102,142,945 and 162,608,185.50

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Solution

The third proportional to 102,142,945 and 162,608,185.50 is: 258,866,845.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,142,945 : 162,608,185.50 = 162,608,185.50 : x
  2. Step 2: Convert to fraction form
    102,142,945/162,608,185.50 = 162,608,185.50/x
  3. Step 3: Cross multiply
    102,142,945x = 162,608,185.50 × 162,608,185.50
  4. Step 4: Simplify right side
    102,142,945x = 26,441,421,991,602,412
  5. Step 5: Solve for x
    x = 26,441,421,991,602,412/102,142,945
  6. Step 6: Final answer
    x = 258,866,845.79

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.