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Finding the Third Proportional to 255,874,359 and 393,051,066

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Solution

The third proportional to 255,874,359 and 393,051,066 is: 603,769,526.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,874,359 : 393,051,066 = 393,051,066 : x
  2. Step 2: Convert to fraction form
    255,874,359/393,051,066 = 393,051,066/x
  3. Step 3: Cross multiply
    255,874,359x = 393,051,066 × 393,051,066
  4. Step 4: Simplify right side
    255,874,359x = 154,489,140,483,736,352
  5. Step 5: Solve for x
    x = 154,489,140,483,736,352/255,874,359
  6. Step 6: Final answer
    x = 603,769,526.14

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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.