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Finding the Third Proportional to 194,208,470.44 and 416,118,303

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Solution

The third proportional to 194,208,470.44 and 416,118,303 is: 891,590,576.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,208,470.44 : 416,118,303 = 416,118,303 : x
  2. Step 2: Convert to fraction form
    194,208,470.44/416,118,303 = 416,118,303/x
  3. Step 3: Cross multiply
    194,208,470.44x = 416,118,303 × 416,118,303
  4. Step 4: Simplify right side
    194,208,470.44x = 173,154,442,091,599,808
  5. Step 5: Solve for x
    x = 173,154,442,091,599,808/194,208,470.44
  6. Step 6: Final answer
    x = 891,590,576.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.