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Finding the Third Proportional to 141,710,258.25 and 305,154,436.50

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Solution

The third proportional to 141,710,258.25 and 305,154,436.50 is: 657,110,016.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,710,258.25 : 305,154,436.50 = 305,154,436.50 : x
  2. Step 2: Convert to fraction form
    141,710,258.25/305,154,436.50 = 305,154,436.50/x
  3. Step 3: Cross multiply
    141,710,258.25x = 305,154,436.50 × 305,154,436.50
  4. Step 4: Simplify right side
    141,710,258.25x = 93,119,230,115,632,528
  5. Step 5: Solve for x
    x = 93,119,230,115,632,528/141,710,258.25
  6. Step 6: Final answer
    x = 657,110,016.35

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.