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Finding the Third Proportional to 145,806,078 and 205,094,313

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Solution

The third proportional to 145,806,078 and 205,094,313 is: 288,490,560.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,806,078 : 205,094,313 = 205,094,313 : x
  2. Step 2: Convert to fraction form
    145,806,078/205,094,313 = 205,094,313/x
  3. Step 3: Cross multiply
    145,806,078x = 205,094,313 × 205,094,313
  4. Step 4: Simplify right side
    145,806,078x = 42,063,677,224,941,968
  5. Step 5: Solve for x
    x = 42,063,677,224,941,968/145,806,078
  6. Step 6: Final answer
    x = 288,490,560.90

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.