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Finding the Third Proportional to 76,492,539 and 163,899,360

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Solution

The third proportional to 76,492,539 and 163,899,360 is: 351,184,580.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,492,539 : 163,899,360 = 163,899,360 : x
  2. Step 2: Convert to fraction form
    76,492,539/163,899,360 = 163,899,360/x
  3. Step 3: Cross multiply
    76,492,539x = 163,899,360 × 163,899,360
  4. Step 4: Simplify right side
    76,492,539x = 26,863,000,208,409,600
  5. Step 5: Solve for x
    x = 26,863,000,208,409,600/76,492,539
  6. Step 6: Final answer
    x = 351,184,580.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.