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Finding the Third Proportional to 181,771,563 and 287,875,023

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Solution

The third proportional to 181,771,563 and 287,875,023 is: 455,913,056.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,771,563 : 287,875,023 = 287,875,023 : x
  2. Step 2: Convert to fraction form
    181,771,563/287,875,023 = 287,875,023/x
  3. Step 3: Cross multiply
    181,771,563x = 287,875,023 × 287,875,023
  4. Step 4: Simplify right side
    181,771,563x = 82,872,028,867,250,528
  5. Step 5: Solve for x
    x = 82,872,028,867,250,528/181,771,563
  6. Step 6: Final answer
    x = 455,913,056.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.