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Finding the Third Proportional to 97,514,283.38 and 203,099,825.25

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Solution

The third proportional to 97,514,283.38 and 203,099,825.25 is: 423,010,225.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,514,283.38 : 203,099,825.25 = 203,099,825.25 : x
  2. Step 2: Convert to fraction form
    97,514,283.38/203,099,825.25 = 203,099,825.25/x
  3. Step 3: Cross multiply
    97,514,283.38x = 203,099,825.25 × 203,099,825.25
  4. Step 4: Simplify right side
    97,514,283.38x = 41,249,539,016,580,536
  5. Step 5: Solve for x
    x = 41,249,539,016,580,536/97,514,283.38
  6. Step 6: Final answer
    x = 423,010,225.67

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.