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Finding the Third Proportional to 101,119,878 and 152,742,513

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Solution

The third proportional to 101,119,878 and 152,742,513 is: 230,718,981.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,119,878 : 152,742,513 = 152,742,513 : x
  2. Step 2: Convert to fraction form
    101,119,878/152,742,513 = 152,742,513/x
  3. Step 3: Cross multiply
    101,119,878x = 152,742,513 × 152,742,513
  4. Step 4: Simplify right side
    101,119,878x = 23,330,275,277,555,168
  5. Step 5: Solve for x
    x = 23,330,275,277,555,168/101,119,878
  6. Step 6: Final answer
    x = 230,718,981.66

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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.