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Finding the Third Proportional to 93,575,493 and 208,666,894.50

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Solution

The third proportional to 93,575,493 and 208,666,894.50 is: 465,312,780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,575,493 : 208,666,894.50 = 208,666,894.50 : x
  2. Step 2: Convert to fraction form
    93,575,493/208,666,894.50 = 208,666,894.50/x
  3. Step 3: Cross multiply
    93,575,493x = 208,666,894.50 × 208,666,894.50
  4. Step 4: Simplify right side
    93,575,493x = 43,541,872,860,274,128
  5. Step 5: Solve for x
    x = 43,541,872,860,274,128/93,575,493
  6. Step 6: Final answer
    x = 465,312,780.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.