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Finding the Third Proportional to 105,284,503.69 and 163,885,614.19

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Solution

The third proportional to 105,284,503.69 and 163,885,614.19 is: 255,103,966.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,284,503.69 : 163,885,614.19 = 163,885,614.19 : x
  2. Step 2: Convert to fraction form
    105,284,503.69/163,885,614.19 = 163,885,614.19/x
  3. Step 3: Cross multiply
    105,284,503.69x = 163,885,614.19 × 163,885,614.19
  4. Step 4: Simplify right side
    105,284,503.69x = 26,858,494,537,614,100
  5. Step 5: Solve for x
    x = 26,858,494,537,614,100/105,284,503.69
  6. Step 6: Final answer
    x = 255,103,966.84

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.