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Finding the Third Proportional to 141,875,545 and 213,828,106

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Solution

The third proportional to 141,875,545 and 213,828,106 is: 322,271,600.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,875,545 : 213,828,106 = 213,828,106 : x
  2. Step 2: Convert to fraction form
    141,875,545/213,828,106 = 213,828,106/x
  3. Step 3: Cross multiply
    141,875,545x = 213,828,106 × 213,828,106
  4. Step 4: Simplify right side
    141,875,545x = 45,722,458,915,547,232
  5. Step 5: Solve for x
    x = 45,722,458,915,547,232/141,875,545
  6. Step 6: Final answer
    x = 322,271,600.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.