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Finding the Third Proportional to 77,140,395.75 and 164,742,622.50

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Solution

The third proportional to 77,140,395.75 and 164,742,622.50 is: 351,827,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,140,395.75 : 164,742,622.50 = 164,742,622.50 : x
  2. Step 2: Convert to fraction form
    77,140,395.75/164,742,622.50 = 164,742,622.50/x
  3. Step 3: Cross multiply
    77,140,395.75x = 164,742,622.50 × 164,742,622.50
  4. Step 4: Simplify right side
    77,140,395.75x = 27,140,131,668,177,508
  5. Step 5: Solve for x
    x = 27,140,131,668,177,508/77,140,395.75
  6. Step 6: Final answer
    x = 351,827,747.37

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.