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Finding the Third Proportional to 193,477,566.38 and 295,843,383

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Solution

The third proportional to 193,477,566.38 and 295,843,383 is: 452,369,279.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,477,566.38 : 295,843,383 = 295,843,383 : x
  2. Step 2: Convert to fraction form
    193,477,566.38/295,843,383 = 295,843,383/x
  3. Step 3: Cross multiply
    193,477,566.38x = 295,843,383 × 295,843,383
  4. Step 4: Simplify right side
    193,477,566.38x = 87,523,307,264,884,688
  5. Step 5: Solve for x
    x = 87,523,307,264,884,688/193,477,566.38
  6. Step 6: Final answer
    x = 452,369,279.32

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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.