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Finding the Third Proportional to 106,308,021 and 166,547,884.50

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Solution

The third proportional to 106,308,021 and 166,547,884.50 is: 260,922,906.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,308,021 : 166,547,884.50 = 166,547,884.50 : x
  2. Step 2: Convert to fraction form
    106,308,021/166,547,884.50 = 166,547,884.50/x
  3. Step 3: Cross multiply
    106,308,021x = 166,547,884.50 × 166,547,884.50
  4. Step 4: Simplify right side
    106,308,021x = 27,738,197,831,425,340
  5. Step 5: Solve for x
    x = 27,738,197,831,425,340/106,308,021
  6. Step 6: Final answer
    x = 260,922,906.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.