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Finding the Third Proportional to 205,567,211.81 and 443,898,316.13

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Solution

The third proportional to 205,567,211.81 and 443,898,316.13 is: 958,546,420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,567,211.81 : 443,898,316.13 = 443,898,316.13 : x
  2. Step 2: Convert to fraction form
    205,567,211.81/443,898,316.13 = 443,898,316.13/x
  3. Step 3: Cross multiply
    205,567,211.81x = 443,898,316.13 × 443,898,316.13
  4. Step 4: Simplify right side
    205,567,211.81x = 197,045,715,058,610,432
  5. Step 5: Solve for x
    x = 197,045,715,058,610,432/205,567,211.81
  6. Step 6: Final answer
    x = 958,546,420.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.