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Finding the Third Proportional to 103,537,512 and 164,828,128

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Solution

The third proportional to 103,537,512 and 164,828,128 is: 262,400,662.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,537,512 : 164,828,128 = 164,828,128 : x
  2. Step 2: Convert to fraction form
    103,537,512/164,828,128 = 164,828,128/x
  3. Step 3: Cross multiply
    103,537,512x = 164,828,128 × 164,828,128
  4. Step 4: Simplify right side
    103,537,512x = 27,168,311,779,984,384
  5. Step 5: Solve for x
    x = 27,168,311,779,984,384/103,537,512
  6. Step 6: Final answer
    x = 262,400,662.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.