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Finding the Third Proportional to 258,875,970 and 554,598,516

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Solution

The third proportional to 258,875,970 and 554,598,516 is: 1,188,134,665.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,875,970 : 554,598,516 = 554,598,516 : x
  2. Step 2: Convert to fraction form
    258,875,970/554,598,516 = 554,598,516/x
  3. Step 3: Cross multiply
    258,875,970x = 554,598,516 × 554,598,516
  4. Step 4: Simplify right side
    258,875,970x = 307,579,513,949,402,240
  5. Step 5: Solve for x
    x = 307,579,513,949,402,240/258,875,970
  6. Step 6: Final answer
    x = 1,188,134,665.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.