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Finding the Third Proportional to 211,845,936 and 456,154,038

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Solution

The third proportional to 211,845,936 and 456,154,038 is: 982,206,740.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,845,936 : 456,154,038 = 456,154,038 : x
  2. Step 2: Convert to fraction form
    211,845,936/456,154,038 = 456,154,038/x
  3. Step 3: Cross multiply
    211,845,936x = 456,154,038 × 456,154,038
  4. Step 4: Simplify right side
    211,845,936x = 208,076,506,383,705,440
  5. Step 5: Solve for x
    x = 208,076,506,383,705,440/211,845,936
  6. Step 6: Final answer
    x = 982,206,740.96

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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.