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Finding the Third Proportional to 165,977,952 and 266,681,313

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Solution

The third proportional to 165,977,952 and 266,681,313 is: 428,484,156.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,977,952 : 266,681,313 = 266,681,313 : x
  2. Step 2: Convert to fraction form
    165,977,952/266,681,313 = 266,681,313/x
  3. Step 3: Cross multiply
    165,977,952x = 266,681,313 × 266,681,313
  4. Step 4: Simplify right side
    165,977,952x = 71,118,922,703,403,968
  5. Step 5: Solve for x
    x = 71,118,922,703,403,968/165,977,952
  6. Step 6: Final answer
    x = 428,484,156.16

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.