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Finding the Third Proportional to 125,974,326.38 and 180,143,501.63

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Solution

The third proportional to 125,974,326.38 and 180,143,501.63 is: 257,605,514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,974,326.38 : 180,143,501.63 = 180,143,501.63 : x
  2. Step 2: Convert to fraction form
    125,974,326.38/180,143,501.63 = 180,143,501.63/x
  3. Step 3: Cross multiply
    125,974,326.38x = 180,143,501.63 × 180,143,501.63
  4. Step 4: Simplify right side
    125,974,326.38x = 32,451,681,177,716,376
  5. Step 5: Solve for x
    x = 32,451,681,177,716,376/125,974,326.38
  6. Step 6: Final answer
    x = 257,605,514.64

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.