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Finding the Third Proportional to 73,830,359.25 and 159,106,666.50

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Solution

The third proportional to 73,830,359.25 and 159,106,666.50 is: 342,879,698.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,830,359.25 : 159,106,666.50 = 159,106,666.50 : x
  2. Step 2: Convert to fraction form
    73,830,359.25/159,106,666.50 = 159,106,666.50/x
  3. Step 3: Cross multiply
    73,830,359.25x = 159,106,666.50 × 159,106,666.50
  4. Step 4: Simplify right side
    73,830,359.25x = 25,314,931,324,742,224
  5. Step 5: Solve for x
    x = 25,314,931,324,742,224/73,830,359.25
  6. Step 6: Final answer
    x = 342,879,698.57

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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.