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Finding the Third Proportional to 176,834,003,402 and 384,651,153,830

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Solution

The third proportional to 176,834,003,402 and 384,651,153,830 is: 836,697,169,641.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,834,003,402 : 384,651,153,830 = 384,651,153,830 : x
  2. Step 2: Convert to fraction form
    176,834,003,402/384,651,153,830 = 384,651,153,830/x
  3. Step 3: Cross multiply
    176,834,003,402x = 384,651,153,830 × 384,651,153,830
  4. Step 4: Simplify right side
    176,834,003,402x = 147,956,510,142,750,322,065,408
  5. Step 5: Solve for x
    x = 147,956,510,142,750,322,065,408/176,834,003,402
  6. Step 6: Final answer
    x = 836,697,169,641.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.