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Finding the Third Proportional to 346,836,183 and 712,059,196.50

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Solution

The third proportional to 346,836,183 and 712,059,196.50 is: 1,461,866,795.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,836,183 : 712,059,196.50 = 712,059,196.50 : x
  2. Step 2: Convert to fraction form
    346,836,183/712,059,196.50 = 712,059,196.50/x
  3. Step 3: Cross multiply
    346,836,183x = 712,059,196.50 × 712,059,196.50
  4. Step 4: Simplify right side
    346,836,183x = 507,028,299,320,225,600
  5. Step 5: Solve for x
    x = 507,028,299,320,225,600/346,836,183
  6. Step 6: Final answer
    x = 1,461,866,795.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.