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Finding the Third Proportional to 145,429,365.94 and 311,014,123.88

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Solution

The third proportional to 145,429,365.94 and 311,014,123.88 is: 665,132,414.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,429,365.94 : 311,014,123.88 = 311,014,123.88 : x
  2. Step 2: Convert to fraction form
    145,429,365.94/311,014,123.88 = 311,014,123.88/x
  3. Step 3: Cross multiply
    145,429,365.94x = 311,014,123.88 × 311,014,123.88
  4. Step 4: Simplify right side
    145,429,365.94x = 96,729,785,249,733,840
  5. Step 5: Solve for x
    x = 96,729,785,249,733,840/145,429,365.94
  6. Step 6: Final answer
    x = 665,132,414.12

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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.