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Finding the Third Proportional to 165,594,895,076 and 360,203,729,319

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Solution

The third proportional to 165,594,895,076 and 360,203,729,319 is: 783,518,879,345.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,594,895,076 : 360,203,729,319 = 360,203,729,319 : x
  2. Step 2: Convert to fraction form
    165,594,895,076/360,203,729,319 = 360,203,729,319/x
  3. Step 3: Cross multiply
    165,594,895,076x = 360,203,729,319 × 360,203,729,319
  4. Step 4: Simplify right side
    165,594,895,076x = 129,746,726,615,315,420,020,736
  5. Step 5: Solve for x
    x = 129,746,726,615,315,420,020,736/165,594,895,076
  6. Step 6: Final answer
    x = 783,518,879,345.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.