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Finding the Third Proportional to 43,742,232 and 102,201,596

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Solution

The third proportional to 43,742,232 and 102,201,596 is: 238,789,054.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,742,232 : 102,201,596 = 102,201,596 : x
  2. Step 2: Convert to fraction form
    43,742,232/102,201,596 = 102,201,596/x
  3. Step 3: Cross multiply
    43,742,232x = 102,201,596 × 102,201,596
  4. Step 4: Simplify right side
    43,742,232x = 10,445,166,224,947,216
  5. Step 5: Solve for x
    x = 10,445,166,224,947,216/43,742,232
  6. Step 6: Final answer
    x = 238,789,054.59

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.