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Finding the Third Proportional to 280,005,832.13 and 403,359,360.19

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Solution

The third proportional to 280,005,832.13 and 403,359,360.19 is: 581,054,945.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,005,832.13 : 403,359,360.19 = 403,359,360.19 : x
  2. Step 2: Convert to fraction form
    280,005,832.13/403,359,360.19 = 403,359,360.19/x
  3. Step 3: Cross multiply
    280,005,832.13x = 403,359,360.19 × 403,359,360.19
  4. Step 4: Simplify right side
    280,005,832.13x = 162,698,773,450,869,376
  5. Step 5: Solve for x
    x = 162,698,773,450,869,376/280,005,832.13
  6. Step 6: Final answer
    x = 581,054,945.23

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.