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Finding the Third Proportional to 119,030,890,810.50 and 256,997,009,709

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Solution

The third proportional to 119,030,890,810.50 and 256,997,009,709 is: 554,876,658,904.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,030,890,810.50 : 256,997,009,709 = 256,997,009,709 : x
  2. Step 2: Convert to fraction form
    119,030,890,810.50/256,997,009,709 = 256,997,009,709/x
  3. Step 3: Cross multiply
    119,030,890,810.50x = 256,997,009,709 × 256,997,009,709
  4. Step 4: Simplify right side
    119,030,890,810.50x = 66,047,462,999,367,840,956,416
  5. Step 5: Solve for x
    x = 66,047,462,999,367,840,956,416/119,030,890,810.50
  6. Step 6: Final answer
    x = 554,876,658,904.60

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.