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Finding the Third Proportional to 68,249,024 and 104,654,664

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Solution

The third proportional to 68,249,024 and 104,654,664 is: 160,479,931.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,249,024 : 104,654,664 = 104,654,664 : x
  2. Step 2: Convert to fraction form
    68,249,024/104,654,664 = 104,654,664/x
  3. Step 3: Cross multiply
    68,249,024x = 104,654,664 × 104,654,664
  4. Step 4: Simplify right side
    68,249,024x = 10,952,598,696,952,896
  5. Step 5: Solve for x
    x = 10,952,598,696,952,896/68,249,024
  6. Step 6: Final answer
    x = 160,479,931.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.