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Finding the Third Proportional to 145,356,724 and 223,423,354

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Solution

The third proportional to 145,356,724 and 223,423,354 is: 343,417,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,356,724 : 223,423,354 = 223,423,354 : x
  2. Step 2: Convert to fraction form
    145,356,724/223,423,354 = 223,423,354/x
  3. Step 3: Cross multiply
    145,356,724x = 223,423,354 × 223,423,354
  4. Step 4: Simplify right side
    145,356,724x = 49,917,995,112,609,312
  5. Step 5: Solve for x
    x = 49,917,995,112,609,312/145,356,724
  6. Step 6: Final answer
    x = 343,417,172.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.