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Finding the Third Proportional to 211,845,938 and 456,154,042

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Solution

The third proportional to 211,845,938 and 456,154,042 is: 982,206,748.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,845,938 : 456,154,042 = 456,154,042 : x
  2. Step 2: Convert to fraction form
    211,845,938/456,154,042 = 456,154,042/x
  3. Step 3: Cross multiply
    211,845,938x = 456,154,042 × 456,154,042
  4. Step 4: Simplify right side
    211,845,938x = 208,076,510,032,937,760
  5. Step 5: Solve for x
    x = 208,076,510,032,937,760/211,845,938
  6. Step 6: Final answer
    x = 982,206,748.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.