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Finding the Third Proportional to 69,151,225.50 and 148,106,407.50

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Solution

The third proportional to 69,151,225.50 and 148,106,407.50 is: 317,210,689.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,151,225.50 : 148,106,407.50 = 148,106,407.50 : x
  2. Step 2: Convert to fraction form
    69,151,225.50/148,106,407.50 = 148,106,407.50/x
  3. Step 3: Cross multiply
    69,151,225.50x = 148,106,407.50 × 148,106,407.50
  4. Step 4: Simplify right side
    69,151,225.50x = 21,935,507,942,556,056
  5. Step 5: Solve for x
    x = 21,935,507,942,556,056/69,151,225.50
  6. Step 6: Final answer
    x = 317,210,689.82

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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.