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Finding the Third Proportional to 105,986,602.50 and 159,987,544.50

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Solution

The third proportional to 105,986,602.50 and 159,987,544.50 is: 241,502,357.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,986,602.50 : 159,987,544.50 = 159,987,544.50 : x
  2. Step 2: Convert to fraction form
    105,986,602.50/159,987,544.50 = 159,987,544.50/x
  3. Step 3: Cross multiply
    105,986,602.50x = 159,987,544.50 × 159,987,544.50
  4. Step 4: Simplify right side
    105,986,602.50x = 25,596,014,395,139,480
  5. Step 5: Solve for x
    x = 25,596,014,395,139,480/105,986,602.50
  6. Step 6: Final answer
    x = 241,502,357.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.