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Finding the Third Proportional to 265,465,735.50 and 369,108,886.50

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Solution

The third proportional to 265,465,735.50 and 369,108,886.50 is: 513,216,403.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,465,735.50 : 369,108,886.50 = 369,108,886.50 : x
  2. Step 2: Convert to fraction form
    265,465,735.50/369,108,886.50 = 369,108,886.50/x
  3. Step 3: Cross multiply
    265,465,735.50x = 369,108,886.50 × 369,108,886.50
  4. Step 4: Simplify right side
    265,465,735.50x = 136,241,370,093,269,888
  5. Step 5: Solve for x
    x = 136,241,370,093,269,888/265,465,735.50
  6. Step 6: Final answer
    x = 513,216,403.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.