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Finding the Third Proportional to 105,698,538 and 161,706,928.50

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Solution

The third proportional to 105,698,538 and 161,706,928.50 is: 247,393,494.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,698,538 : 161,706,928.50 = 161,706,928.50 : x
  2. Step 2: Convert to fraction form
    105,698,538/161,706,928.50 = 161,706,928.50/x
  3. Step 3: Cross multiply
    105,698,538x = 161,706,928.50 × 161,706,928.50
  4. Step 4: Simplify right side
    105,698,538x = 26,149,130,724,904,112
  5. Step 5: Solve for x
    x = 26,149,130,724,904,112/105,698,538
  6. Step 6: Final answer
    x = 247,393,494.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.