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Finding the Third Proportional to 145,672,164 and 312,004,584

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Solution

The third proportional to 145,672,164 and 312,004,584 is: 668,259,863.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,672,164 : 312,004,584 = 312,004,584 : x
  2. Step 2: Convert to fraction form
    145,672,164/312,004,584 = 312,004,584/x
  3. Step 3: Cross multiply
    145,672,164x = 312,004,584 × 312,004,584
  4. Step 4: Simplify right side
    145,672,164x = 97,346,860,437,013,056
  5. Step 5: Solve for x
    x = 97,346,860,437,013,056/145,672,164
  6. Step 6: Final answer
    x = 668,259,863.55

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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.