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Finding the Third Proportional to 52,931,696 and 114,657,070

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Solution

The third proportional to 52,931,696 and 114,657,070 is: 248,362,412.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,931,696 : 114,657,070 = 114,657,070 : x
  2. Step 2: Convert to fraction form
    52,931,696/114,657,070 = 114,657,070/x
  3. Step 3: Cross multiply
    52,931,696x = 114,657,070 × 114,657,070
  4. Step 4: Simplify right side
    52,931,696x = 13,146,243,700,984,900
  5. Step 5: Solve for x
    x = 13,146,243,700,984,900/52,931,696
  6. Step 6: Final answer
    x = 248,362,412.21

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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.