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Finding the Third Proportional to 58,116,528 and 122,256,216

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Solution

The third proportional to 58,116,528 and 122,256,216 is: 257,182,988.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,116,528 : 122,256,216 = 122,256,216 : x
  2. Step 2: Convert to fraction form
    58,116,528/122,256,216 = 122,256,216/x
  3. Step 3: Cross multiply
    58,116,528x = 122,256,216 × 122,256,216
  4. Step 4: Simplify right side
    58,116,528x = 14,946,582,350,638,656
  5. Step 5: Solve for x
    x = 14,946,582,350,638,656/58,116,528
  6. Step 6: Final answer
    x = 257,182,988.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.