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Finding the Third Proportional to 52,931,694 and 114,657,066

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Solution

The third proportional to 52,931,694 and 114,657,066 is: 248,362,404.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,931,694 : 114,657,066 = 114,657,066 : x
  2. Step 2: Convert to fraction form
    52,931,694/114,657,066 = 114,657,066/x
  3. Step 3: Cross multiply
    52,931,694x = 114,657,066 × 114,657,066
  4. Step 4: Simplify right side
    52,931,694x = 13,146,242,783,728,356
  5. Step 5: Solve for x
    x = 13,146,242,783,728,356/52,931,694
  6. Step 6: Final answer
    x = 248,362,404.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.