Home / 199,432,970.75-306,353,461.13

Finding the Third Proportional to 199,432,970.75 and 306,353,461.13

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Solution

The third proportional to 199,432,970.75 and 306,353,461.13 is: 470,596,425.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,432,970.75 : 306,353,461.13 = 306,353,461.13 : x
  2. Step 2: Convert to fraction form
    199,432,970.75/306,353,461.13 = 306,353,461.13/x
  3. Step 3: Cross multiply
    199,432,970.75x = 306,353,461.13 × 306,353,461.13
  4. Step 4: Simplify right side
    199,432,970.75x = 93,852,443,143,266,880
  5. Step 5: Solve for x
    x = 93,852,443,143,266,880/199,432,970.75
  6. Step 6: Final answer
    x = 470,596,425.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.