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Finding the Third Proportional to 202,154,522 and 310,534,076

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Solution

The third proportional to 202,154,522 and 310,534,076 is: 477,018,329.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,154,522 : 310,534,076 = 310,534,076 : x
  2. Step 2: Convert to fraction form
    202,154,522/310,534,076 = 310,534,076/x
  3. Step 3: Cross multiply
    202,154,522x = 310,534,076 × 310,534,076
  4. Step 4: Simplify right side
    202,154,522x = 96,431,412,357,173,776
  5. Step 5: Solve for x
    x = 96,431,412,357,173,776/202,154,522
  6. Step 6: Final answer
    x = 477,018,329.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.