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Finding the Third Proportional to 164,869,987,804 and 357,116,830,712

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Solution

The third proportional to 164,869,987,804 and 357,116,830,712 is: 773,533,330,574.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,869,987,804 : 357,116,830,712 = 357,116,830,712 : x
  2. Step 2: Convert to fraction form
    164,869,987,804/357,116,830,712 = 357,116,830,712/x
  3. Step 3: Cross multiply
    164,869,987,804x = 357,116,830,712 × 357,116,830,712
  4. Step 4: Simplify right side
    164,869,987,804x = 127,532,430,777,783,267,885,056
  5. Step 5: Solve for x
    x = 127,532,430,777,783,267,885,056/164,869,987,804
  6. Step 6: Final answer
    x = 773,533,330,574.37

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.