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Finding the Third Proportional to 147,066,360 and 232,765,260

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Solution

The third proportional to 147,066,360 and 232,765,260 is: 368,402,850.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,066,360 : 232,765,260 = 232,765,260 : x
  2. Step 2: Convert to fraction form
    147,066,360/232,765,260 = 232,765,260/x
  3. Step 3: Cross multiply
    147,066,360x = 232,765,260 × 232,765,260
  4. Step 4: Simplify right side
    147,066,360x = 54,179,666,262,867,600
  5. Step 5: Solve for x
    x = 54,179,666,262,867,600/147,066,360
  6. Step 6: Final answer
    x = 368,402,850.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.