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Finding the Third Proportional to 69,615,148.78 and 147,528,831.09

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Solution

The third proportional to 69,615,148.78 and 147,528,831.09 is: 312,643,963.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,615,148.78 : 147,528,831.09 = 147,528,831.09 : x
  2. Step 2: Convert to fraction form
    69,615,148.78/147,528,831.09 = 147,528,831.09/x
  3. Step 3: Cross multiply
    69,615,148.78x = 147,528,831.09 × 147,528,831.09
  4. Step 4: Simplify right side
    69,615,148.78x = 21,764,756,003,888,216
  5. Step 5: Solve for x
    x = 21,764,756,003,888,216/69,615,148.78
  6. Step 6: Final answer
    x = 312,643,963.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.