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Finding the Third Proportional to 194,280,486.19 and 317,208,964.22

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Solution

The third proportional to 194,280,486.19 and 317,208,964.22 is: 517,918,855.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,280,486.19 : 317,208,964.22 = 317,208,964.22 : x
  2. Step 2: Convert to fraction form
    194,280,486.19/317,208,964.22 = 317,208,964.22/x
  3. Step 3: Cross multiply
    194,280,486.19x = 317,208,964.22 × 317,208,964.22
  4. Step 4: Simplify right side
    194,280,486.19x = 100,621,526,980,732,224
  5. Step 5: Solve for x
    x = 100,621,526,980,732,224/194,280,486.19
  6. Step 6: Final answer
    x = 517,918,855.13

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.