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Finding the Third Proportional to 52,931,690 and 114,657,056

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Solution

The third proportional to 52,931,690 and 114,657,056 is: 248,362,379.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,931,690 : 114,657,056 = 114,657,056 : x
  2. Step 2: Convert to fraction form
    52,931,690/114,657,056 = 114,657,056/x
  3. Step 3: Cross multiply
    52,931,690x = 114,657,056 × 114,657,056
  4. Step 4: Simplify right side
    52,931,690x = 13,146,240,490,587,136
  5. Step 5: Solve for x
    x = 13,146,240,490,587,136/52,931,690
  6. Step 6: Final answer
    x = 248,362,379.71

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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.