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Finding the Third Proportional to 185,026,348,268 and 249,643,986,994

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Solution

The third proportional to 185,026,348,268 and 249,643,986,994 is: 336,828,353,505.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,026,348,268 : 249,643,986,994 = 249,643,986,994 : x
  2. Step 2: Convert to fraction form
    185,026,348,268/249,643,986,994 = 249,643,986,994/x
  3. Step 3: Cross multiply
    185,026,348,268x = 249,643,986,994 × 249,643,986,994
  4. Step 4: Simplify right side
    185,026,348,268x = 62,322,120,242,260,439,203,840
  5. Step 5: Solve for x
    x = 62,322,120,242,260,439,203,840/185,026,348,268
  6. Step 6: Final answer
    x = 336,828,353,505.58

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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.