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Finding the Third Proportional to 178,516,924 and 275,854,145

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Solution

The third proportional to 178,516,924 and 275,854,145 is: 426,264,959.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,516,924 : 275,854,145 = 275,854,145 : x
  2. Step 2: Convert to fraction form
    178,516,924/275,854,145 = 275,854,145/x
  3. Step 3: Cross multiply
    178,516,924x = 275,854,145 × 275,854,145
  4. Step 4: Simplify right side
    178,516,924x = 76,095,509,313,681,024
  5. Step 5: Solve for x
    x = 76,095,509,313,681,024/178,516,924
  6. Step 6: Final answer
    x = 426,264,959.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.