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Finding the Third Proportional to 46,021,032.56 and 99,214,461.56

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Solution

The third proportional to 46,021,032.56 and 99,214,461.56 is: 213,891,536.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,021,032.56 : 99,214,461.56 = 99,214,461.56 : x
  2. Step 2: Convert to fraction form
    46,021,032.56/99,214,461.56 = 99,214,461.56/x
  3. Step 3: Cross multiply
    46,021,032.56x = 99,214,461.56 × 99,214,461.56
  4. Step 4: Simplify right side
    46,021,032.56x = 9,843,509,383,136,790
  5. Step 5: Solve for x
    x = 9,843,509,383,136,790/46,021,032.56
  6. Step 6: Final answer
    x = 213,891,536.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.