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Finding the Third Proportional to 201,870,886.50 and 302,470,564.50

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Solution

The third proportional to 201,870,886.50 and 302,470,564.50 is: 453,202,757.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,870,886.50 : 302,470,564.50 = 302,470,564.50 : x
  2. Step 2: Convert to fraction form
    201,870,886.50/302,470,564.50 = 302,470,564.50/x
  3. Step 3: Cross multiply
    201,870,886.50x = 302,470,564.50 × 302,470,564.50
  4. Step 4: Simplify right side
    201,870,886.50x = 91,488,442,388,948,656
  5. Step 5: Solve for x
    x = 91,488,442,388,948,656/201,870,886.50
  6. Step 6: Final answer
    x = 453,202,757.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.