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Finding the Third Proportional to 153,242,340 and 340,496,904

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Solution

The third proportional to 153,242,340 and 340,496,904 is: 756,567,288.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,242,340 : 340,496,904 = 340,496,904 : x
  2. Step 2: Convert to fraction form
    153,242,340/340,496,904 = 340,496,904/x
  3. Step 3: Cross multiply
    153,242,340x = 340,496,904 × 340,496,904
  4. Step 4: Simplify right side
    153,242,340x = 115,938,141,633,585,216
  5. Step 5: Solve for x
    x = 115,938,141,633,585,216/153,242,340
  6. Step 6: Final answer
    x = 756,567,288.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.