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Finding the Third Proportional to 74,833,953 and 160,009,887

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Solution

The third proportional to 74,833,953 and 160,009,887 is: 342,132,987.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,833,953 : 160,009,887 = 160,009,887 : x
  2. Step 2: Convert to fraction form
    74,833,953/160,009,887 = 160,009,887/x
  3. Step 3: Cross multiply
    74,833,953x = 160,009,887 × 160,009,887
  4. Step 4: Simplify right side
    74,833,953x = 25,603,163,937,752,768
  5. Step 5: Solve for x
    x = 25,603,163,937,752,768/74,833,953
  6. Step 6: Final answer
    x = 342,132,987.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.