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Finding the Third Proportional to 164,117,624,202 and 245,210,332,455

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Solution

The third proportional to 164,117,624,202 and 245,210,332,455 is: 366,372,030,030.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,117,624,202 : 245,210,332,455 = 245,210,332,455 : x
  2. Step 2: Convert to fraction form
    164,117,624,202/245,210,332,455 = 245,210,332,455/x
  3. Step 3: Cross multiply
    164,117,624,202x = 245,210,332,455 × 245,210,332,455
  4. Step 4: Simplify right side
    164,117,624,202x = 60,128,107,142,691,623,534,592
  5. Step 5: Solve for x
    x = 60,128,107,142,691,623,534,592/164,117,624,202
  6. Step 6: Final answer
    x = 366,372,030,030.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.