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Finding the Third Proportional to 190,825,794.63 and 415,442,070.07

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Solution

The third proportional to 190,825,794.63 and 415,442,070.07 is: 904,448,551.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,825,794.63 : 415,442,070.07 = 415,442,070.07 : x
  2. Step 2: Convert to fraction form
    190,825,794.63/415,442,070.07 = 415,442,070.07/x
  3. Step 3: Cross multiply
    190,825,794.63x = 415,442,070.07 × 415,442,070.07
  4. Step 4: Simplify right side
    190,825,794.63x = 172,592,113,584,312,672
  5. Step 5: Solve for x
    x = 172,592,113,584,312,672/190,825,794.63
  6. Step 6: Final answer
    x = 904,448,551.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.