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Finding the Third Proportional to 164,261,314 and 360,645,284

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Solution

The third proportional to 164,261,314 and 360,645,284 is: 791,817,730.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,261,314 : 360,645,284 = 360,645,284 : x
  2. Step 2: Convert to fraction form
    164,261,314/360,645,284 = 360,645,284/x
  3. Step 3: Cross multiply
    164,261,314x = 360,645,284 × 360,645,284
  4. Step 4: Simplify right side
    164,261,314x = 130,065,020,871,440,656
  5. Step 5: Solve for x
    x = 130,065,020,871,440,656/164,261,314
  6. Step 6: Final answer
    x = 791,817,730.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.