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Finding the Third Proportional to 91,828,668.94 and 199,799,577.28

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Solution

The third proportional to 91,828,668.94 and 199,799,577.28 is: 434,721,220.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,828,668.94 : 199,799,577.28 = 199,799,577.28 : x
  2. Step 2: Convert to fraction form
    91,828,668.94/199,799,577.28 = 199,799,577.28/x
  3. Step 3: Cross multiply
    91,828,668.94x = 199,799,577.28 × 199,799,577.28
  4. Step 4: Simplify right side
    91,828,668.94x = 39,919,871,081,766,192
  5. Step 5: Solve for x
    x = 39,919,871,081,766,192/91,828,668.94
  6. Step 6: Final answer
    x = 434,721,220.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.