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Finding the Third Proportional to 154,017,656.51 and 363,213,182.64

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Solution

The third proportional to 154,017,656.51 and 363,213,182.64 is: 856,549,950.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,017,656.51 : 363,213,182.64 = 363,213,182.64 : x
  2. Step 2: Convert to fraction form
    154,017,656.51/363,213,182.64 = 363,213,182.64/x
  3. Step 3: Cross multiply
    154,017,656.51x = 363,213,182.64 × 363,213,182.64
  4. Step 4: Simplify right side
    154,017,656.51x = 131,923,816,041,102,592
  5. Step 5: Solve for x
    x = 131,923,816,041,102,592/154,017,656.51
  6. Step 6: Final answer
    x = 856,549,950.39

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.