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Finding the Third Proportional to 101,119,896 and 152,742,540

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Solution

The third proportional to 101,119,896 and 152,742,540 is: 230,719,022.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,119,896 : 152,742,540 = 152,742,540 : x
  2. Step 2: Convert to fraction form
    101,119,896/152,742,540 = 152,742,540/x
  3. Step 3: Cross multiply
    101,119,896x = 152,742,540 × 152,742,540
  4. Step 4: Simplify right side
    101,119,896x = 23,330,283,525,651,600
  5. Step 5: Solve for x
    x = 23,330,283,525,651,600/101,119,896
  6. Step 6: Final answer
    x = 230,719,022.16

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Why These Related Problems?

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