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Finding the Third Proportional to 49,365,410 and 106,316,914

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Solution

The third proportional to 49,365,410 and 106,316,914 is: 228,971,788.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,365,410 : 106,316,914 = 106,316,914 : x
  2. Step 2: Convert to fraction form
    49,365,410/106,316,914 = 106,316,914/x
  3. Step 3: Cross multiply
    49,365,410x = 106,316,914 × 106,316,914
  4. Step 4: Simplify right side
    49,365,410x = 11,303,286,202,483,396
  5. Step 5: Solve for x
    x = 11,303,286,202,483,396/49,365,410
  6. Step 6: Final answer
    x = 228,971,788.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.