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Finding the Third Proportional to 145,614,748 and 311,673,886

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Solution

The third proportional to 145,614,748 and 311,673,886 is: 667,106,955.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,614,748 : 311,673,886 = 311,673,886 : x
  2. Step 2: Convert to fraction form
    145,614,748/311,673,886 = 311,673,886/x
  3. Step 3: Cross multiply
    145,614,748x = 311,673,886 × 311,673,886
  4. Step 4: Simplify right side
    145,614,748x = 97,140,611,214,340,992
  5. Step 5: Solve for x
    x = 97,140,611,214,340,992/145,614,748
  6. Step 6: Final answer
    x = 667,106,955.50

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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.