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Finding the Third Proportional to 175,630,505,841 and 236,966,787,342

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Solution

The third proportional to 175,630,505,841 and 236,966,787,342 is: 319,723,831,770.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,630,505,841 : 236,966,787,342 = 236,966,787,342 : x
  2. Step 2: Convert to fraction form
    175,630,505,841/236,966,787,342 = 236,966,787,342/x
  3. Step 3: Cross multiply
    175,630,505,841x = 236,966,787,342 × 236,966,787,342
  4. Step 4: Simplify right side
    175,630,505,841x = 56,153,258,303,188,648,329,216
  5. Step 5: Solve for x
    x = 56,153,258,303,188,648,329,216/175,630,505,841
  6. Step 6: Final answer
    x = 319,723,831,770.00

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.